Cargando…

A minimal model of elastic instabilities in biological filament bundles

We present a model of a system of elastic fibres which exhibits complex, coupled, nonlinear deformations via a connecting elastic spring network. This model can capture physically observed deformations such as global buckling, pinching and internal collapse. We explore the transitions between these...

Descripción completa

Detalles Bibliográficos
Autores principales: Prior, Chris, Panter, Jack, Kusumaatmaja, Halim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9490347/
https://www.ncbi.nlm.nih.gov/pubmed/36128703
http://dx.doi.org/10.1098/rsif.2022.0287
_version_ 1784793068111659008
author Prior, Chris
Panter, Jack
Kusumaatmaja, Halim
author_facet Prior, Chris
Panter, Jack
Kusumaatmaja, Halim
author_sort Prior, Chris
collection PubMed
description We present a model of a system of elastic fibres which exhibits complex, coupled, nonlinear deformations via a connecting elastic spring network. This model can capture physically observed deformations such as global buckling, pinching and internal collapse. We explore the transitions between these deformation modes numerically, using an energy minimization approach, highlighting how supported environments, or stiff outer sheath structures, favour internal structural collapse over global deformation. We then derive a novel analytic buckling criterion for the internal collapse of the system, a mode of structural collapse pertinent in many biological filament bundles such as the optic nerve bundle and microtubule bundles involved in cell abscission.
format Online
Article
Text
id pubmed-9490347
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher The Royal Society
record_format MEDLINE/PubMed
spelling pubmed-94903472022-11-14 A minimal model of elastic instabilities in biological filament bundles Prior, Chris Panter, Jack Kusumaatmaja, Halim J R Soc Interface Life Sciences–Physics interface We present a model of a system of elastic fibres which exhibits complex, coupled, nonlinear deformations via a connecting elastic spring network. This model can capture physically observed deformations such as global buckling, pinching and internal collapse. We explore the transitions between these deformation modes numerically, using an energy minimization approach, highlighting how supported environments, or stiff outer sheath structures, favour internal structural collapse over global deformation. We then derive a novel analytic buckling criterion for the internal collapse of the system, a mode of structural collapse pertinent in many biological filament bundles such as the optic nerve bundle and microtubule bundles involved in cell abscission. The Royal Society 2022-09-21 /pmc/articles/PMC9490347/ /pubmed/36128703 http://dx.doi.org/10.1098/rsif.2022.0287 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Life Sciences–Physics interface
Prior, Chris
Panter, Jack
Kusumaatmaja, Halim
A minimal model of elastic instabilities in biological filament bundles
title A minimal model of elastic instabilities in biological filament bundles
title_full A minimal model of elastic instabilities in biological filament bundles
title_fullStr A minimal model of elastic instabilities in biological filament bundles
title_full_unstemmed A minimal model of elastic instabilities in biological filament bundles
title_short A minimal model of elastic instabilities in biological filament bundles
title_sort minimal model of elastic instabilities in biological filament bundles
topic Life Sciences–Physics interface
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9490347/
https://www.ncbi.nlm.nih.gov/pubmed/36128703
http://dx.doi.org/10.1098/rsif.2022.0287
work_keys_str_mv AT priorchris aminimalmodelofelasticinstabilitiesinbiologicalfilamentbundles
AT panterjack aminimalmodelofelasticinstabilitiesinbiologicalfilamentbundles
AT kusumaatmajahalim aminimalmodelofelasticinstabilitiesinbiologicalfilamentbundles
AT priorchris minimalmodelofelasticinstabilitiesinbiologicalfilamentbundles
AT panterjack minimalmodelofelasticinstabilitiesinbiologicalfilamentbundles
AT kusumaatmajahalim minimalmodelofelasticinstabilitiesinbiologicalfilamentbundles